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214119311064 = 23317524802233
BaseRepresentation
bin1100011101101010000…
…0010110011011011000
3202110200100021000002020
43013122200112123120
512002004020423224
6242210503534440
721320035054131
oct3073240263330
9673610230066
10214119311064
118289785061a
12355b815a420
13172645734c9
14a513374c88
155882cc3c79
hex31da8166d8

214119311064 has 32 divisors (see below), whose sum is σ = 566786412720. Its totient is φ = 67174685696.

The previous prime is 214119311057. The next prime is 214119311117. The reversal of 214119311064 is 460113911412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262400709 + ... + 262401524.

Almost surely, 2214119311064 is an apocalyptic number.

214119311064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214119311064 is an abundant number, since it is smaller than the sum of its proper divisors (352667101656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214119311064 is a wasteful number, since it uses less digits than its factorization.

214119311064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524802259 (or 524802255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 214119311064 in words is "two hundred fourteen billion, one hundred nineteen million, three hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 524802233 1049604466 1574406699 2099208932 3148813398 4198417864 6297626796 8921637961 12595253592 17843275922 26764913883 35686551844 53529827766 71373103688 107059655532 214119311064